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Finding the Fourth Proportional to 1,159.68, 1,738.26 and 581.16

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Solution

The fourth proportional to 1,159.68, 1,738.26 and 581.16 is: 871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.68 : 1,738.26 = 581.16 : x
  2. Step 2: Convert to fraction form
    1,159.68/1,738.26 = 581.16/x
  3. Step 3: Cross multiply
    1,159.68x = 1,738.26 × 581.16
  4. Step 4: Simplify right side
    1,159.68x = 1,010,207.18
  5. Step 5: Solve for x
    x = 1,010,207.18/1,159.68
  6. Step 6: Final answer
    x = 871.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.